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Finding the Fourth Proportional to 21,366.56, 32,044.08 and 9,668

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Solution

The fourth proportional to 21,366.56, 32,044.08 and 9,668 is: 14,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366.56 : 32,044.08 = 9,668 : x
  2. Step 2: Convert to fraction form
    21,366.56/32,044.08 = 9,668/x
  3. Step 3: Cross multiply
    21,366.56x = 32,044.08 × 9,668
  4. Step 4: Simplify right side
    21,366.56x = 309,802,165.44
  5. Step 5: Solve for x
    x = 309,802,165.44/21,366.56
  6. Step 6: Final answer
    x = 14,499.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.